Abstract
In this work, the particle velocity and circulation rate in water spouted beds of small glass particles are experimentally studied. The pathline, velocity and residence time of particles 0.53 to 1.40 mm in diameters were measured in the annulus of half-cylindrical columns 40, 60 and 90 mm in diameters. The particle velocity in the annulus and circulation rate increase practically linearly with fluid flowrate. As the column diameter was increased, the average particle velocity in the annulus was decreased, but the particle circulation rate was increased.
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Abbreviations
- A a :
-
(π/4)(D 2c -d 2s ) [mm2]
- As :
-
(π/4) d 2s [mm2]
- Dc :
-
column diameter [mm]
- di :
-
spout inlet diameter [mm]
- dp :
-
particle diameter [mm]
- ds :
-
spout diameter [mm]
- g:
-
gravitational acceleration [m/s2]
- H:
-
height of the annulus [mm]
- Hm :
-
maximum spoutable height in the condition of minimum spouting [mm]
- H’:
-
height of the annulus [mm]
- h:
-
H/Hm [-]
- ΔPms :
-
overall pressure drop at the minimum spouting in a bed of height, H [Pa/m2]
- ΔPmf :
-
minimum fluidization pressure drop in a bed of height, H [Pa/m2]
- r:
-
distance from the axis of symmetry of the column [mm]
- rc :
-
column radius [mm]
- t:
-
residence time of a particle along a pathline [mm/s]
- U:
-
superficial fluid velocity in the bed [mm/s]
- Umf :
-
minimum fluidization velocity (superficial) [mm/s]
- Ums :
-
minimum spouting velocity (superficial) [mm/s]
- Ul :
-
terminal fall velocity of a particle [mm/s]
- Va :
-
particle velocity in the annulus [mm/s]
- Vs :
-
particle velocity in the spout [mm/s]
- Wa :
-
ρpAaVa (1-εa [kg/s]
- Ws :
-
ρAsVs (1-εs) [kg/s]
- Z:
-
vertical height from the spout inlet [mm]
- εa :
-
voidage in the annulus [ - ]
- εmf :
-
bed voidage in the minimum fluidization condition [ -]
- εs :
-
voidage in the spout [ - ]
- ρ f :
-
1 fluid density [kg/m3]
- ρ p :
-
particle density [kg/m3]
- ms:
-
in the condition of the minimum spouting
References
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Kim, S.J., Cho, S.Y. Particle velocity and circulation rate in liquid spouted beds. Korean J. Chem. Eng. 8, 131–136 (1991). https://doi.org/10.1007/BF02706673
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DOI: https://doi.org/10.1007/BF02706673